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10145336440 = 235962326357
BaseRepresentation
bin10010111001011010…
…11000110001111000
3222012001020111020111
421130231120301320
5131234201231230
64354413434104
7506260636231
oct113455306170
928161214214
1010145336440
114336861478
121b7179b934
13c58b45775
146c3596088
153e5a1a92a
hex25cb58c78

10145336440 has 32 divisors (see below), whose sum is σ = 22830245280. Its totient is φ = 4057558912.

The previous prime is 10145336419. The next prime is 10145336441. The reversal of 10145336440 is 4463354101.

It is a happy number.

10145336440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145336441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371742 + ... + 398098.

It is an arithmetic number, because the mean of its divisors is an integer number (713445165).

Almost surely, 210145336440 is an apocalyptic number.

10145336440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145336440 is an abundant number, since it is smaller than the sum of its proper divisors (12684908840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145336440 is a wasteful number, since it uses less digits than its factorization.

10145336440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35991 (or 35987 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 10145336440 in words is "ten billion, one hundred forty-five million, three hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 9623 19246 26357 38492 48115 52714 76984 96230 105428 131785 192460 210856 263570 384920 527140 1054280 253633411 507266822 1014533644 1268167055 2029067288 2536334110 5072668220 10145336440